Due to the importance of teleconnections in the formation of convective systems, investigating the effect of these indices on the climatological distribution of atmospheric stability indices can be of great help in predicting convective systems. In this study, first, the positive and negative critical phases of the North Atlantic Oscillation (NAO) and the Indian Ocean Dipole (IOD) were determined. Using JRA55 data with a horizontal resolution of 1.25°×1.25° for the period 1958 to 2018, the average values of the atmospheric stability indices including Convective Available Potential Energy (CAPE), Lifted Index (LI), K Index (KI) and Total Totals Index (TTI) were calcualted for the critical months of the positive and negative phases associated with the NAO and IOD teleconnections in the spring season over the West Asia region from which the average differences of the two phases were determined for each teleconnection. Results show that generally the area of the atmospheric stability indices with significant values decreases (increases) during the positive (negative) phase of the NAO and increases (decreases) during the positive (negative) phase of the IOD over the most parts of the study area.